1020101021010 has 96 divisors (see below), whose sum is σ = 2664488286720. Its totient is φ = 270773777664.

The previous prime is 1020101020993. The next prime is 1020101021011. The reversal of 1020101021010 is 101201010201.

It is a happy number.

It is a super-2 number, since 2×1020101021010² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1020101020983 and 1020101021001.

It is not an unprimeable number, because it can be changed into a prime (1020101021011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93248121 + ... + 93259059.

It is an arithmetic number, because the mean of its divisors is an integer number (27755086320).

Almost surely, 2^{1020101021010} is an apocalyptic number.

1020101021010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020101021010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332244143360).

1020101021010 is an abundant number, since it is smaller than the sum of its proper divisors (1644387265710).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1020101021010 is a wasteful number, since it uses less digits than its factorization.

1020101021010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15632 (or 15629 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1020101021010 its reverse (101201010201), we get a palindrome (1121302031211).

The spelling of 1020101021010 in words is "one trillion, twenty billion, one hundred one million, twenty-one thousand, ten".